1 |
|
2 |
|
3 | const deepMap = require('../../utils/collection/deepMap')
|
4 |
|
5 | function factory (type, config, load, typed) {
|
6 | /**
|
7 | * Compute the complex conjugate of a complex value.
|
8 | * If `x = a+bi`, the complex conjugate of `x` is `a - bi`.
|
9 | *
|
10 | * For matrices, the function is evaluated element wise.
|
11 | *
|
12 | * Syntax:
|
13 | *
|
14 | * math.conj(x)
|
15 | *
|
16 | * Examples:
|
17 | *
|
18 | * math.conj(math.complex('2 + 3i')) // returns Complex 2 - 3i
|
19 | * math.conj(math.complex('2 - 3i')) // returns Complex 2 + 3i
|
20 | * math.conj(math.complex('-5.2i')) // returns Complex 5.2i
|
21 | *
|
22 | * See also:
|
23 | *
|
24 | * re, im, arg, abs
|
25 | *
|
26 | * @param {number | BigNumber | Complex | Array | Matrix} x
|
27 | * A complex number or array with complex numbers
|
28 | * @return {number | BigNumber | Complex | Array | Matrix}
|
29 | * The complex conjugate of x
|
30 | */
|
31 | const conj = typed('conj', {
|
32 | 'number': function (x) {
|
33 | return x
|
34 | },
|
35 |
|
36 | 'BigNumber': function (x) {
|
37 | return x
|
38 | },
|
39 |
|
40 | 'Complex': function (x) {
|
41 | return x.conjugate()
|
42 | },
|
43 |
|
44 | 'Array | Matrix': function (x) {
|
45 | return deepMap(x, conj)
|
46 | }
|
47 | })
|
48 |
|
49 | conj.toTex = { 1: `\\left(\${args[0]}\\right)^*` }
|
50 |
|
51 | return conj
|
52 | }
|
53 |
|
54 | exports.name = 'conj'
|
55 | exports.factory = factory
|